Question

[ (2/17)^-6 ÷(2/17)^4 ]^4 × (2/17)^-18
The answer is (2/17)^-28
But,howww???

Answer 1

Answer:

$\left(\frac{2}{17}\right)^{-6}\div \:\left(\frac{2}{17}\right)^{4}\times \:\left(\frac{2}{17}\right)^{-18}\\=\left(\frac{2}{17}\right)^{-28}$

Step-by-step explanation:

$Given \:\left(\frac{2}{17}\right)^{-6}\div \:\left(\frac{2}{17}\right)^{4}\times \:\left(\frac{2}{17}\right)^{-18}$

$=\frac{\left(\frac{2}{17}\right)^{-6}}{\left(\frac{2}{17}\right)^{4}}\times \left(\frac{2}{17}\right)^{-18}$

$=\left(\frac{2}{17}\right)^{-6-4}\times \left(\frac{2}{17}\right)^{-18}$

$=\left(\frac{2}{17}\right)^{-10-18}\\=\left(\frac{2}{17}\right)^{-28}$

Therefore,

$\left(\frac{2}{17}\right)^{-6}\div \left(\frac{2}{17}\right)^{4}\times \left(\frac{2}{17}\right)^{-18}\\=\left(\frac{2}{17}\right)^{-28}$

•••♪

Answer 2

Answer:

Step-by-step explanation:

[(2/17)⁻⁶/(2/17)⁴] X (2/17)⁻¹⁸  (∵ xᵃ / xᵇ = xᵃ⁻ᵇ)

= (2/17)⁻¹⁰X  (2/17)⁻¹⁸  (∵ xᵃ * xᵇ = xᵃ⁺ᵇ)

= (2/17)⁻²⁸